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Finding the Fourth Proportional to 3,685.52, 5,085.60 and 2,114.12

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Solution

The fourth proportional to 3,685.52, 5,085.60 and 2,114.12 is: 2,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.52 : 5,085.60 = 2,114.12 : x
  2. Step 2: Convert to fraction form
    3,685.52/5,085.60 = 2,114.12/x
  3. Step 3: Cross multiply
    3,685.52x = 5,085.60 × 2,114.12
  4. Step 4: Simplify right side
    3,685.52x = 10,751,568.67
  5. Step 5: Solve for x
    x = 10,751,568.67/3,685.52
  6. Step 6: Final answer
    x = 2,917.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.